Find the Volume of the Solid Obtained When the Region $y = x ^ { 3 }$

Multiple Choice

Find the volume of the solid obtained when the region bounded by the curves $y = x ^ { 3 }$ , $x = 1$ , and the x-axis is rotated about the line x = - 1.

A) $\frac { 127 \pi } { 3 }$
B) $\frac { 62 \pi } { 3 }$
C) $\frac { \pi } { 2 }$
D) $\frac { \pi } { 4 }$
E) $\frac { 2 \pi } { 5 }$
F) $\frac { \pi } { 5 }$
G) $\frac { 9 \pi } { 10 }$
H) $\frac { 31 \pi } { 3 }$